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Finding the Fourth Proportional to 309.90, 462.24 and 263.73

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Solution

The fourth proportional to 309.90, 462.24 and 263.73 is: 393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.90 : 462.24 = 263.73 : x
  2. Step 2: Convert to fraction form
    309.90/462.24 = 263.73/x
  3. Step 3: Cross multiply
    309.90x = 462.24 × 263.73
  4. Step 4: Simplify right side
    309.90x = 121,906.56
  5. Step 5: Solve for x
    x = 121,906.56/309.90
  6. Step 6: Final answer
    x = 393.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.